Rice University Math Department Calendar

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4:00 pm Wednesday, April 10, 2013
Geometry-Analysis Seminar: Picard groups on Moduli space of K3 surfaces
by Zhiyuan Li (Stanford) in HBH 227

The Noether-Lefschetz divisors on moduli space M_2d of quasi-polarized K3 surfaces of degree 2d will be introduced from both geometry and arithmetic. Maulik and Pandharipande have conjectured that the Picard group of M_2d is generated by the Noether-Lefschetz divisors. We verify this conjecture via GIT when the degree is small. I will also talk about the general case and the relation to automorphic representation theory. A conjectural approach to this problem may be discussed at the end of this talk. This is a joint work with Zhiyu Tian.Host Department: Rice University-Mathematics
Submitted by hassett@math.rice.edu

3:00 pm Friday, April 19, 2013
Geometry-Analysis Seminar: A New Compactness Theorem for Gromov-Hausdorff and Intrinsic Flat Convergence
by Christina Sormani (Grad.Center CUNY) in HB 227

Abstract. The Tetrahedral Compactness Theorem states that sequences of Riemannian manifolds, $M^m_j$, with a uniform upper bound on volume and on diameter that satisfy a uniform tetrahedral property have subsequences which converge in the Gromov-Hausdorff and Intrinsic Flat sense to countably H^m rectifiable metric spaces of the same dimension as the initial sequence. In general the Gromov-Hausdorff and Intrinsic Flat limits of Riemannian manifolds do not agree and Gromov-Hausdorff limits are not usually countably H^m rectifiable. In addition to the presentation of this new theorem, there will be a review of the notions of the Gromov-Hausdorff and Intrinsic Flat convergence and their relationshio in a variety of settings.Host Department: Rice University-Mathematics
Submitted by hardt@rice.edu